A run chart is a line graph of measurements plotted in the order they were collected, with a horizontal reference line drawn at the median of the data. It answers one question: is the process stable over time, or is something changing? Because the points stay in time order, a run chart exposes shifts, drifts, […]
A3 Problem Solving: The Complete Guide
A3 Problem Solving is a structured, one-page approach to solving quality and process problems, developed at Toyota and named after the A3 (297 × 420 mm) paper size it’s written on. It follows the Plan-Do-Check-Act (PDCA) cycle across seven sections: Background and Problem, Current Condition, Goal, Root Cause Analysis, Proposed Countermeasures, Implementation Plan, and Follow-Up. […]
Confidence Intervals Explained: Formula, Meaning, and How to Calculate
A confidence interval is a range of values, calculated from sample data, that is likely to contain the true value of a population parameter such as the mean. It always takes the form estimate ± margin of error, so it reports your best estimate together with the uncertainty attached to it. The most common version […]
What Is Lean Six Sigma and DMAIC? Beginner’s Guide [2026]
DMAIC is the five-phase problem-solving methodology at the core of Six Sigma: Define, Measure, Analyze, Improve, and Control. Each phase answers one question with data, and the team does not advance until that question is answered honestly — from “are we solving the right problem?” to “how do we make the gains stick?” Define, Measure, […]
What is Statistical Process Control (SPC) and Control Charts?
Statistical process control (SPC) is a method for monitoring, controlling, and improving a process by applying ongoing statistical analysis to data taken from that process over time. You sample the process at planned intervals, calculate a statistic from each sample, and plot it in time order against control limits calculated from the process itself. Those […]
Calculate Process Capability (Cp, Cpk, Pp, Ppk) Online
A process capability analysis compares the natural spread of a process against its specification limits and reports the result as four indices: Cp, Cpk, Pp, and Ppk. Cp and Cpk are calculated from the within-subgroup (short-term) standard deviation, while Pp and Ppk use the overall (long-term) standard deviation. The plain letters, Cp and Pp, describe […]
What is Root Cause Analysis (RCA)? Tools, Steps
Root cause analysis (RCA) is a structured method for identifying the underlying cause of a problem rather than its visible symptoms. It replaces guessing and unstructured brainstorming with a disciplined process of asking why a failure occurred until you reach a cause you can actually act on. The goal is to eliminate the source of […]
Cp vs Cpk: What’s the Difference? Explained
Cp vs Cpk comes down to one distinction: Cp measures a process’s potential capability, while Cpk measures its actual capability. Cp compares the specification width to the natural six-sigma spread of the process and assumes the mean is perfectly centered. Cpk drops that assumption and measures the distance from the process mean to the nearest […]
Process Capability Analysis: Cp, Cpk, Pp, and Ppk Explained
Process capability analysis is a statistical method that measures whether a process can consistently produce output within customer specification limits. It compares the natural spread of the process against the allowed specification width and expresses the result as capability indices — Cp, Cpk, Pp, and Ppk. Cp and Cpk describe short-term capability from within-subgroup variation, […]
Cpk 1.33, 1.67, 2.00 | PPM Rates | Sigma Levels
Cpk values of 1.33, 1.67, and 2.00 are the three process capability targets you meet most often in manufacturing, and each maps to a specific sigma level and defect rate. A Cpk of 1.33 is a four-sigma process (≈ 63 PPM when centered) and the common minimum for ongoing production. A Cpk of 1.67 is […]
